A Conformally Invariant Classification Theorem in Four Dimensions

2012/06/22 by Chen, Bing-Long, Zhu, Xi-Ping
#53C25 #53C44 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1206.5051

Abstract

In this paper, we prove a classification theorem of 4-manifolds according to some conformal invariants, which generalizes the conformally invariant sphere theorem of Chang-Gursky-Yang \citeCGY. Moreover, it provides a four-dimensional analogue of the well-known classification theorem of Schoen-Yau \citeSY2 on 3-manifolds with positive Yamabe invariants.

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